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121 lines
No EOL
4.6 KiB
Markdown
# Research Stack Knowledge Graph
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## Overview
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This is the central knowledge management system for the Sovereign Research Stack, a formalized system where Lean 4 is the single source of truth and all computation is Q16.16 fixed-point arithmetic.
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## Quick Navigation
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### 🗺️ **Map & Orientation**
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- [[00-MAP/Core Concepts]] - Fundamental concepts and terminology
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- [[00-MAP/System Architecture]] - High-level system architecture
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- [[00-MAP/Getting Started]] - How to use this knowledge base
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### 📚 **Layered Knowledge**
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- [[01-LAYERS/00-Overview]] - The 7-layer USTSM model
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- [[01-LAYERS/L0-Primordial]] - Pure math, fixed-point arithmetic
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- [[01-LAYERS/L1-Geometric]] - Shape-aware topology
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- [[01-LAYERS/L2-Biological]] - Genetic codes, spiking neurons
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- [[01-LAYERS/L3-Thermodynamic]] - Energy-aware quality
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- [[01-LAYERS/L4-Security]] - Attack-aware gating
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- [[01-LAYERS/L5-Semantic]] - Meaning-aware filtering
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- [[01-LAYERS/L6-Meta]] - Self-aware adaptation
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### 🎯 **Active Research**
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- [[07-RESEARCH/00-Milestones]] - Current milestones and progress
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- [[07-RESEARCH/01-Attack-Plans]] - Active attack plans
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- [[07-RESEARCH/02-Conjectures]] - Research conjectures
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- [[07-RESEARCH/03-Experiments]] - Experimental validation
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### 🔧 **Tools & Templates**
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- [[08-TOOLS/01-Templates]] - Document templates
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- [[08-TOOLS/02-Workflows]] - Research workflows
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- [[08-TOOLS/00-Scripts]] - Automation scripts
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## Current Status
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### 🟢 **Active Milestone**
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**Burgers 4-Theorem Attack Plan** - Implementing core theorems for Burgers equation
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- [[Burgers 4-Theorem Attack Plan]] - Main attack plan document
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- [[Burgers Equation Energy Dissipation Theorem]] - Theorem 1
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- [[Burgers Equation CFL Stability Theorem]] - Theorem 2
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- [[Burgers Equation Mass Conservation Theorem]] - Theorem 3
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- [[Burgers Equation Complexity Regularization Theorem]] - Theorem 4
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### 📊 **System Health**
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- **Lean Build Status:** ✅ 746 modules, 3529 build jobs, 0 errors
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- **Formal Proofs:** 🟡 173 TODO(lean-port) items remaining
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- **Receipt Generation:** 🟢 Core receipts operational
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- **Hardware Extraction:** 🟡 FPGA verification in progress
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## Knowledge Graph Structure
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### 🏗️ **Core Relationships**
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```
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Layer L0 (Primordial) ──┐
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├─→ Formal Proofs ──→ Receipts ──→ Hardware
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Layer L1 (Geometric) ───┤
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├─→ Attack Plans ──→ Milestones ──→ Validation
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Layer L2 (Biological) ──┤
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└─→ Conjectures ──→ Experiments ──→ Results
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...
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```
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### 🏷️ **Tag System**
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- `#layer-L0` through `#layer-L6` - Layer classification
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- `#formal-proof` - Lean formal proofs
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- `#receipt` - Receipt documents
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- `#attack-plan` - Research attack plans
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- `#milestone` - Project milestones
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- `#conjecture` - Research conjectures
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- `#experiment` - Experimental validation
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- `#hardware` - Hardware extraction
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### 🔍 **Search Strategies**
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- **By Layer:** Use `tag:#layer-LX` to find layer-specific content
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- **By Type:** Use `tag:#formal-proof` for proofs, `tag:#receipt` for receipts
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- **By Status:** Use `tag:#status-completed` for finished work
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- **By Priority:** Use `tag:#priority-critical` for urgent items
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## Recent Activity
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### 📝 **Latest Updates**
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- `2024-05-19` - Completed Burgers 4-Theorem Attack Plan implementation
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- `2024-05-19` - Added Energy Dissipation theorem with receipt generation
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- `2024-05-19` - Updated Obsidian vault structure
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### 🔄 **Currently In Progress**
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- Lean formal proof completion (173 TODO items)
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- Hardware extraction path verification
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- Receipt system integration testing
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## Community & Collaboration
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### 👥 **Contributors**
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- [[Research Lead]] - Overall research direction
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- [[Formal Methods Team]] - Lean proof development
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- [[Hardware Team]] - FPGA implementation
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- [[Validation Team]] - Receipt generation and testing
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### 📋 **Review Process**
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1. **Self-Review** - Author review
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2. **Peer Review** - Team member review
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3. **Expert Review** - Domain expert review
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4. **Formal Verification** - Lean compilation and proof checking
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## External Links
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### 📚 **Reference Materials**
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- [Lean 4 Documentation](https://lean-lang.org/)
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- [Q16.16 Fixed-Point Arithmetic](https://en.wikipedia.org/wiki/Q_(number_format))
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- [Formal Methods Wiki](https://en.wikipedia.org/wiki/Formal_methods)
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### 🔗 **Related Projects**
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- [[Mathlib4]] - Lean mathematical library
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- [[FAMM]] - Frustration-avoiding memory management
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- [[USTSM]] - Universal Substrate Topological State Machine
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---
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*This knowledge base is continuously evolving. Last updated: <% tp.date.now('YYYY-MM-DD') %>*
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#research-stack #knowledge-graph #overview |